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Finding the Fourth Proportional to 5,266.16, 7,898.71 and 1,370.57

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Solution

The fourth proportional to 5,266.16, 7,898.71 and 1,370.57 is: 2,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.16 : 7,898.71 = 1,370.57 : x
  2. Step 2: Convert to fraction form
    5,266.16/7,898.71 = 1,370.57/x
  3. Step 3: Cross multiply
    5,266.16x = 7,898.71 × 1,370.57
  4. Step 4: Simplify right side
    5,266.16x = 10,825,692.04
  5. Step 5: Solve for x
    x = 10,825,692.04/5,266.16
  6. Step 6: Final answer
    x = 2,055.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.